Fill in the blanks so that the resulting statement is true. Using interval notation, the domain of $f(x)=\log _{b} x$ is $\square$ and the range is $\square$.

Step 1 ：The domain of a logarithmic function is the set of all positive real numbers. This is because you can only take the logarithm of a positive number. In interval notation, this is represented as (0, ∞).

Step 2 ：The range of a logarithmic function is the set of all real numbers. This is because the logarithm of a number can be any real number. In interval notation, this is represented as (-∞, ∞).

Step 3 ：Final Answer: The domain of \(f(x)=\log _{b} x\) is \(\boxed{(0, \infty)}\) and the range is \(\boxed{(-\infty, \infty)}\).